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I’m working on my ACT prep guide, and I’m really having trouble on this problem

I’m working on my ACT prep guide, and I’m really having trouble on this problem-example-1
User Lazywiz
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1 Answer

4 votes

To evaluate the limit, we'll go down two roads: We'll analyse what happens as we get really really close to 2 from below and from above.

FROM BELOW:

As we get really really close to 2 from below, we can see that we get really really close to 6000. At this point, we can be almost sure that the limit is 6000

FROM ABOVE:

Nevertheless, as we get really really close to 2 from above, we can see that theres a really big jump from 7.04 to 6000, in a very short span. This mostly indicates a discontinuity, meaning that the limit does not exist.

Answer: Unbounded

User Uri Agassi
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